Consider the following differential equation with exact solution y(t) = t(e'-e) 3y y' +t+1, 0...

 

Transcribed Image Text:

Consider the following differential equation with exact solution y(t) = t(e'-e) 3y y' +t+1, 0<t < 2, y(0) = 0. t+1 1. Are there any values of ho for which the differential equation might have existence or uniqueness problems? 2. Choose a numerical method to solve this problem. State what method you are using and explain how it was derived and the error associated with the method. 3. Do you expect any issues with the convergence of your method? 4. Solve the problem and Plot the results comparing both numerical and analytical solution Consider the following differential equation with exact solution y(t) = t(e'-e) 3y y' +t+1, 0<t < 2, y(0) = 0. t+1 1. Are there any values of ho for which the differential equation might have existence or uniqueness problems? 2. Choose a numerical method to solve this problem. State what method you are using and explain how it was derived and the error associated with the method. 3. Do you expect any issues with the convergence of your method? 4. Solve the problem and Plot the results comparing both numerical and analytical solution